Finite Groups with Some s-semipermutable subgroups

2020/06/16 by Li, Yangming
#20D10 #20D15 #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.2006.09139

Abstract

Suppose that G is a finite group and H is a subgroup of G. We say that H is s-semipermutable in G if HG_p = G_pH for any Sylow p-subgroup G_p of G with (p, |H|) = 1. We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized.

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